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Finding the Third Proportional to 76,922 and 165,748

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Solution

The third proportional to 76,922 and 165,748 is: 357,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,922 : 165,748 = 165,748 : x
  2. Step 2: Convert to fraction form
    76,922/165,748 = 165,748/x
  3. Step 3: Cross multiply
    76,922x = 165,748 × 165,748
  4. Step 4: Simplify right side
    76,922x = 27,472,399,504
  5. Step 5: Solve for x
    x = 27,472,399,504/76,922
  6. Step 6: Final answer
    x = 357,146.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.